Concept explainers
(a)
The energy of lowest level of muonic atom.
(a)
Answer to Problem 39E
The energy of lowest energy level is
Explanation of Solution
Write the expression for energy of atom.
Here,
Conclusion:
Substitute
Thus, the energy of lowest energy level is
(b)
The radius of lowest energy orbit.
(b)
Answer to Problem 39E
The radius of lowest orbit is
Explanation of Solution
Write the expression for radius.
Here,
Conclusion:
Substitute
Thus, the radius of lowest orbit is
(c)
The ratio of orbital radius to that of sulfur.
(c)
Answer to Problem 39E
The ratio of orbital radius to that of sulfur is
Explanation of Solution
Write the expression for ratio.
Here,
Conclusion:
Substitute
Thus, the ratio of orbital radius to that of sulfur is
Want to see more full solutions like this?
Chapter 27 Solutions
General Physics, 2nd Edition
- At what velocity does a proton have a 6.0-fm wavelength (about the size of a nucleus)? Give your answer in units of c.arrow_forward(a) If one subshell of an atom has nine electrons in it, what is the minimum value of (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3 shell?arrow_forwarda) Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 6.0fm b) What is the kinetic energy of a photon with that momentum. c) Suppose a photon in that nucleus had a kinetic energy of 5.6MeV. If the photon were represented by a de Broglie wave, how many wavelengths could fit across the diameter of the nucleus?arrow_forward
- Assume a hypothetical atom with a nucleus that consists of two positrons (instead of two protons). Positron has a charge of +1 and the mass of an electron. Write down the hydrogen like energy of a neutral 2-positrons atom.arrow_forward= . Using the formula for the hydrogen atom energy levels, En constant can be written in terms of fundamental quantities, RH = Me 4 8€, ²h³c Me 4 1 860²h² n²¹ the Rydberg and its value approaches, RH → R∞ = 10,973,731.6 m-¹ in the limit u → me. (a) How would this constant be defined for a one-electron species containing Z protons in its nucleus? Consider how this changes the form of the Hamiltonian and the energy levels for that Hamiltonian. (b) The hydrogen atom emission lines in the Balmer series (n₂ = 2) lie in the visible portion of the electromagnetic spectrum. Would this also be true if Z> 1? Find the wavelength (in nm) of the n = 32 emission in hydrogen and that for a one-electron species with Z = 2. (You will be asked to report a quantity on the quiz that depends on these two values.)arrow_forwardWhy do we say that ∆t= h/(2 ∆E) is a lower-bound estimate of the lifetime of an atomic state? Why isn’t that the exact or approximate value of the lifetime?arrow_forward
- The wave function for a Hydrogen atom, at time t = 0 is: = V(21,0,0) + 12,1,0) + v?[2, 1, 1) + v3 |2,1, –1). |亚) considering that the notation is n,l, mi). If spin and radioactive transitions are ignored. a) Calculate the expectation value. b) Calculate the wave function at arbitrary time t. c) What is the probability of finding the system in the state with I = 1 and m = 1, as a function of time? d) What is the probability of finding the electron at a distance of 10 ^ -10cm. of the proton? (at t = 0).arrow_forwardA proton is fired from very far away towards a nucleus with charge Q = 120 e, where e is the electronic charge. It makes a closest approach of 10 fm to the nucleus. The de-Broglie wavelength (in units of fm) of the proton at its start is [Take the proton mass, mp = (5/3)× 10-²7 kg; h/e= 4.2 × 10-¹5 р J-s/C: 1 ATTEO = 9× 10⁹ m/F; 1 fm = 10-¹5 m] (2013 Adv.)arrow_forwardThe energy of the n = 2 Bohr orbit is -30.6 eV for an unidentified ionized atom in which only one electron moves about the nucleus. What is the radius of the n = 3 orbit for this species? Number i Units >arrow_forward
- Use the below values for this problem. Please note that the mass for H is for the entire atom (proton & electron). Neutron: m,= 1.67493x1027 kg= 1.008665 u = 939.57 MeVIC H: my = 1.67353x10 27 kg = 1.007825 u = 938.78 MeVic 1u= 1.6605x10-27 kg = 931.5 MeVic? Consider the following decay: 211 At 207 Bi + a. 211 At has a mass of 210.9874963 u, 207 Bi has a mass of 206.981593 u, and a has a mass of 4.002603 u. 85 83 85 83 Determine the disintegration energy (Q-value) in MeV. Determine the binding energy (in MeV) for 211 At. 85 EB =arrow_forwardThe wavefunction of an hydrogenic atom in its ground state is: 1 Z 3/2 Zr Φο a0 ao where Z is the atomic number and do the bohr radius. 1) Give an expression of a。 as a function of the reduced mass. What is the reduced mass of a tritium atom (you can assume that the mass of a neutron to be the same as the mass of a proton)? What is the reduced mass of ³He+? How do they compare to the mass of an electron? 2) What is the wavefunction of a tritium atom in its ground state? What is the wavefunction of ³He+ in its ground state?arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax